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zaharov [31]
3 years ago
12

Solve for x. NEED ANSWER ASAP TYY SO MUCH IN ADVANCE

Mathematics
1 answer:
Serjik [45]3 years ago
4 0

Answer:

x = 10√3

Step-by-step explanation:

Because of the right angles, we can use Pythagoras

30² - x² = y²  (a) Largest triangle

y² - 20² = h² (b) Medium triangle

substitute y² from (a) into (b)

30² - x² - 20² = h²

500 - x² = h²  (d)

x² - h² = (30 - 20)² (c) smallest triangle

substitute h² from (d) into (c)

x² - (500 - x²) = 100

2x² = 600

x² = 300

x = 10√3

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Step-by-step explanation:

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Answer:

1,165\frac{1}{3}\ yd

Step-by-step explanation:

In this problem we have a regular octagonal barrier (That means that all the length side are equal)

Find out the perimeter of the barrier

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substitute in the formula of perimeter

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3 0
3 years ago
George is an landscape architect and is designing his backyard in a blueprint. In the yard, he wants a garden in the shape of a
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Answer:

The length of the shortest side on the blueprint is <u>10 centimeters</u>.

Step-by-step explanation:

Given:

George is an landscape architect and is designing his backyard in a blueprint. In the yard, he wants a garden in the shape of a triangle. The length of the longest side of the garden will be 600 centimeters, and the length of the shortest side of the garden will be 400 centimeters. If the length of the garden's longest side on the blueprint is 15 centimeters.

Now, to find the length of the shortest side on the blueprint by using an equation.

Let the length of the shortest side on the blueprint be x.

The length of the garden's longest side on the blueprint = 15 centimeters.

The length of the longest side of the garden = 600 centimeters.

The length of the shortest side of the garden = 400 centimeters.

If, 600 centimeters is equivalent to 400 centimeters.

So, 15 centimeters is equivalent to x.

Now, to set an equation that can be used to get the length of the shortest side on the blueprint through cross multiplication method:

\frac{600}{400} =\frac{15}{x}

<em>By cross multiplying we get:</em>

600x=6000

<em>Dividing both sides by 600 we get:</em>

x=10.

Therefore, the length of the shortest side on the blueprint is 10 centimeters.

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